@peep nice shooting and yes, if they are negatively hurting you and your kin take them out.
Also, an ex-special Vietnam era special forces body of mine told me at least once he at every creature he ever shot, including prairie dogs, badgers, rats, etc, except for one; they coyote. My buddy said that coyotes will eat ANYTHING, and anything is where he draws the line. He would hunt them and use their pelts, but not the rest, it was recycled back to nature which was probably another coyote.